Set problems?

[Heewon]

Hi! I'm not sure which topic I should post this in, but it's a problem about sets. This is the question:

Give examples of 3 sets A, B and C such that A is an element of B, B is a subset of C and A is not a subset of C.

Thanks for the help

 

[Ishuda]

Hi! I'm not sure which topic I should post this in, but it's a problem about sets. This is the question:

Give examples of 3 sets A, B and C such that A is an element of B, B is a subset of C and A is not a subset of C.

Thanks for the help

Is the mixed reference to A , i.e. 'element' and 'subset', intentional? If so, then maybe A is not an element of C because C contains only elements consisting of sets of sets and A is not a set of sets but just a simple set.

 

[pka]

Hi! I'm not sure which topic I should post this in, but it's a problem about sets. This is the question: Give examples of 3 sets A, B and C such that A is an element of B, B is a subset of C and A is not a subset of C.

\(\displaystyle A=\{a,~\{a\}~\}\\B=\{a,~\{a,\{a\}\},~b\}\\~\&~C=\{a,~\{a,\{a\}\},~b,~c\}\)

Is the mixed reference to A , i.e. 'element' and 'subset', intentional? If so, then maybe A is not an element of C because C contains only elements consisting of sets of sets and A is not a set of sets but just a simple set.

Is that true?

 

[Ishuda]

\(\displaystyle A=\{a,~\{a\}~\}\\B=\{a,~\{a,\{a\}\},~b\}\\~\&~C=\{a,~\{a,\{a\}\},~b,~c\}\)



Is that true?

A = {a}
B = {{a}, {b}}
C = {{{a}, {b}}, {{1}. {2}}}

A is an element of B, B is a subset of C, A is not a subset of C.

 

[Heewon]

Yea the question is as stated

I think I figured it out and it's very similar to Ishuda's answer

A = {1}
B = {{1}}
C = {{1}}

A is not a subset of C
Thank's everyone

 

[pka]

Yea the question is as stated
I think I figured it out and it's very similar to Ishuda's answer
A = {1}
B = {{1}}
C = {{1}}
A is not a subset of C

Note that \(\displaystyle C=B\) therefore you have not completed the question.
The question states that you are to give three sets, but you have given only two.